It's the second moped-related arrest in three months for Jok, who will be a sophomore for the Hawkeyes next fall.
''We support Peter, but we're not happy with his recent pattern of behavior,'' McCaffery said. ''In the interim, Peter will continue to attend summer school classes, participate in community service projects, and take time to work on things internally, as outlined in accordance with the student-athlete Code of Conduct. We will monitor his progress and go from there.''
Jok was charged with drunk driving on his moped in late April and had his license revoked. He pleaded guilty May 2 and completed a weekend drunk driving program, according to online court records.
Iowa City police arrested Jok again Monday night after initially stopping him for improper rear lights and the lack of a safety flag.
Jok, a 6-foot-6 shooting guard, averaged 4.4 points a game for the Hawkeyes last season. He scored 10 points in an opening-round loss to Tennessee in the NCAA tournament and is expected to push for a much bigger role in 2014-15 now that guard Devyn Marble is in the NBA.
But first, he'll have to convince McCaffery that he deserves another chance to play for the Hawkeyes.
''I'm very disappointed to learn about this, especially in light of the fact that Peter had a previous incident earlier this summer,'' athletic director Gary Barta said. ''We will work through this in accordance to our student-athlete Code of Conduct and team rules.''